How much will you have if : S900 invested at 6% compounded semiannually
for 5 years.

Answer:

No real solutions.

Step-by-step explanation:

We want to solve the equation:

[tex]\ln(x-2)+\ln (x+2)=4[/tex]

Recall that:

[tex]\displaystyle \ln a-\ln b=\ln\left(\frac{a}{b}\right)[/tex]

Therefore:

[tex]\displaystyle \ln\left(\frac{x-2}{x+2}\right)=4[/tex]

By Definition:

[tex]\displaystyle e^4=\frac{x-2}{x+2}[/tex]

Cross-multiply:

[tex]e^4(x+2)=x-2[/tex]

Distribute:

[tex]xe^4+2e^4=x-2[/tex]

Isolate the x:

[tex]xe^4-x=-2-2e^4[/tex]

Factor:

[tex]\displaystyle x(e^4-1)=-2-2e^4[/tex]

Divide. Therefore:

[tex]\displaystyle x=\frac{-2-2e^4}{e^4-1}=\frac{2+2e^4}{1-e^4}\approx-2.07[/tex]

However, note that logs cannot be negative and must be nonzero. According to the first logarithm, x > 2 and according to the second, x > -2. Since the answer is not greater than two, there are no real solutions.

Answer:

x = 1 , y = -4

Step-by-step explanation:

2x - 5y = 22 ------- ( 1 )

y = 3x - 7      ------- ( 2 )

Substitute ( 2 ) in ( 1 ) :

2x - 5 (3x - 7) = 22

2x - 15x + 35 = 22

- 13x = 22 - 35

- 13x =  - 13

 x = 1

Substitute x in ( 1 ) :

2x - 5y = 22

2 ( 1 ) - 5y = 22

- 5y = 22 - 2

-5y = 20

y = - 4

Answer: 0%?

Step-by-step explanation: there isn't much to this problem because if it had a deviation of 3 from 68, it could be 7 digits from 65 to 71, but since 72 is out of the range, i can only say that this answer is not very correct if it has answer choices other than 0.

The probability is 0.160

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

mean (μ) = 68 inches

Standard Deviation (σ) = 3

We know,

Z = [tex]\frac{x - mean}{standard deviation}[/tex]

From the normal distribution bell curve, we can see that the percentage of students taller than 72 inches = 14% + 2%

                                                  = 16%

The probability that a randomly selected student will be taller than 72 inches = 16/100

           = 4/25

           = 0.16

           = 16%

Hence, we can conclude, that the probability that a randomly selected student will be taller than 72 inches is 0.160

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Answer:

435.8 feet

Step-by-step explanation:

law of sines:

*sin 90°/1 = sin 35°/250

cross-multiply to get:

x·sin35° = 250

x = 250/sin35°

x = 435.8

*we can assume the ocean surface and the reef 250 feet below forms a 90° angle

Answer:

0

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -2 - -2)/(2 - -6)

   = (-2+2)/(2 +6)

    = 0/8

   = 0

Answer:

Slope is 0

Step-by-step explanation:

Slope formula is (y2-y1)/(x2-x1)

-2 - (-2)/2 - (-6)

0/8

0

Answer: Rachel gets a total of 2459 dollars to save each month.

Step-by-step explanation:

200+9+50+200+82=541

3000-541=2459

Answer:

False

Step-by-step explanation:

3a + bc = 16.

Let a=4 b=6 c=3

3(4) + 6*3 = 16

Multiply

12+18 =16

30 = 16

False

Answer:

False!

Step-by-step explanation:

There is no a variable that is given, though I'm going to assume you mean that x=4 is supposed to be a=4. If I'm mistaken, there isn't much to say about whether the statement is true or false, because there's no false statement as it'd give you a=? and you can't prove or disprove this information without more information.

If my assumption is correct, we'll first start solving this problem by substituting in the variables, which would give us: 3(4)+(6)(3)=16

Then, we'll evaluate 3(4) first, because of order of operations, which gives us 12. To reiterate the problem, we now have: 12+(6)(3)=16 From here, we can already tell this is going to be a false statement, as there is no way 6 times anything but zero will give a sum less than 6, but if you didn't catch that, we can continue with our next step.

Evaluate (6)(3) in order to get 18, in order to get: 12+18=16

And finally, we'll add. 12+18 is 30, which as we know, is not equal to 16, so that makes this statement false. 30≠16

Answer:

8.944

Step-by-step explanation:

To find the missing Length, Use Pythagorean Theorem!

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+8^2=c^2[/tex]

[tex]16+64=c^2[/tex]

[tex]80=c^2[/tex]

[tex]\sqrt{80} =8.944[/tex]

so it is approximately 10 but not quiet

hope this helps

Answer:

employment plan for the next 12 months is not independent of the type of company

Step-by-step explanation:

H0 : employment plan for the next 12 months is independent of the type of company

H1 : employment plan for the next 12 months is not independent of the type of company

The Chisquare statistic, χ² :

χ² = (observed - Expected)²/ Expected

Given the data:

Observed values :

_________________ Company

Emp plan ________ private _____ public _total

Add employees _____ 37 ________ 32 __ 69

No change__________19 ________ 34 __53

Layoff employees ____ 16 ________ 42__58

Total ______________72 ________108 _ 180

The expected value counts :

(Row total * column total) / grand total

Expected Values:

27.6 ___41.4

21.2 ___ 31.8

23.2 ___34.8

Chi-Squared Values:

3.20145 ___2.1343

0.228302__ 0.152201

2.23448 ____1.48965

χ² = (3.20145 + 2.1343 + 0.228302 + 0.152201 + 2.23448 + 1.48965)

χ² = 9.440383

Degree of freedom, df (row - 1) * (column - 1) = (3-1) * (2 - 1) = 2 * 1 = 2

Pvalue from Chisquare statistic, df = 2

Pvalue = 0.008913

Since ;

Pvalue < α ; We reject the null and conclude that employment plan for the next 12 months is not independent of the type of company.

Answer:

3000 text messages can be sent without breaking the budget.

Step-by-step explanation:

Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:

(140 - 50) / 0.03 = X

90 / 0.03 = X

3000 = X

Therefore, 3000 text messages can be sent without breaking the budget.

9514 1404 393

Answer:

  A

Step-by-step explanation:

The square root of any integer that is not a perfect square will be irrational.

  √5 is irrational

__

Any decimal number that terminates or repeats is a rational number, regardless of sign. All of the decimal numbers shown are rational. (All terminate after a finite number of digits.)

Of course, any ratio of integers is a rational number. That's what the word "rational" means.

Answer:

7 442,84

Step-by-step explanation:

Answer:

0.75 or 3/4

Step-by-step explanation:

f(-2) = 3•2^-2

f(-2) = 3•0.25

f(-2) = 0.75 or 3/4

Hope this helps! :)

Answer:

a.9

b.9

c.6

d.0

e.5

f. 1

g.4

h.6

i.4

j.1

Answer:

When we multiply two number with the same base but different power, the power gets added.

So, the answer is:

5^17*5^2

=5^(17+2)

=5^19

Answer:

750/100*12=90.        640,        37.5 O  32, entonces seria 670.5 o 673, tu decides, porque no se si el aumento o disminuyo del segundo es a base del valor inicial, pero yo diria que si, asi que suerte! espero te ayude

Answer:

[tex] { \boxed{ \blue{ \tt{last \: term : l = a + (n - 1)d}}}} \\ \\ { \boxed{ \green{ \tt{sum : s = \frac{n}{2} (2a + (n - 1)d}}}} \\ or\\ { \boxed{ \tt{ \red{sum : s = \frac{n}{2} (a + l)}}}} \\ { \bf{s \: is \: sum }} \\ { \bf{ l \: is \: last \: term}} \\{ \bf{ n \: is \: number \: of \: terms}} \\{ \bf{ d \: is \: common \: difference}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

1. LCM of 18 & 12 = 36 minutes

2. 0.00095897

explanation.

2 18 2 12

____I______ ___l_________

3 9 2 6

____l_______. ___I_________

3 3 3 3

_____l________. ___l_________

l 1

18= 2×3×3 12=2×2×3

1 2 2 1

=1 × 3 =2 × 3

L.C.M= product of greatest power of each prime factor.

2 2

= 2 × 3

=4×9 = 36

hence, time taken by both to meet again

LCM of 18 & 12 =36 minutes

Answer:

5/8

Step-by-step explanation: Keep, Change and Flip so you do 1/2 times 5/4

Answer:

5/8

Step-by-step explanation:

To divide by a fraction. multiply by the reciprocal of that fraction.

1/2 * 5/4

Multiply the fractions across.

so 1*5=5, then do 2*4= 8

5/8

Answer:

the answer for this C.

Step-by-step explanation:

are

[tex]area \: of \: a \: sector \: is \: \frac{teter}{360} \times \pi {r}^2 \: [/tex]

[tex]therefore \: it \: is \: equal \: to \: \frac{40}{360} \times \frac{22}{7} \times 8 \times 8 \\ = \frac{40}{360} \times \frac{22}{7} \times 64 [/tex]

[tex]you \: then \: cancel \: 360 \: by \: 40. \\ that \: is \: \frac{1}{9} \times \frac{22}{7} \times 64 \\ \frac{1408}{63} \\ = 22.3.[/tex]

Answer:

225 quarters are easy to loose and who will accept that many quarters

Step-by-step explanation:

Answer:

quarters

You will get more money

9514 1404 393

Answer:

  arc SU ≈ 2.62 . . . units

Step-by-step explanation:

The arc length is given by ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  arc SU = ST·STU = 3·(50°·π/180°) = 5π/6

  arc SU ≈ 2.62 . . . units

Normal good

There are 3 basic types of commodities or goods;

i. The normal good

ii. The luxury good

iii. The inferior good

Relative to income and demand, when an increase in income causes an increase in the demand for a good, then the good is a normal good. For a normal good, the measure of the responsiveness of demand to a change in income (known as income elasticity of demand) is always greater than 0. In other words, it is positive.

If instead, an increase in income causes a decrease in the demand for a good, then the good is an inferior good. The income elasticity of demand for an inferior good is less than 0. In other words, it is negative.

When the increase in income causes a larger percentage in the demand for a good, then the good is a luxury good. Luxury goods are a special type of normal goods. The income elasticity of demand for a luxury good is greater than 1 since their is a larger percentage increase in the demand.

Income elasticity of demand is calculated by finding the ratio of the percentage increase in the demand to the percentage increase in income.

In the illustration given, the consumer's income increases by 50% causing the demand for good Y to increase by 25%. This is an example of a normal group. i.e increase in income causes an increase in the demand for good Y.

The income elasticity of demand for good Y is given as the ratio of the percentage increase in demand (25%) to the percentage increase in income (50%). Therefore, the income elasticity of demand for good Y is;

25% / 50% = 0.5

Since the income of elasticity of demand for good Y is 0.5 which is greater than 0, good Y is a normal good.

Answer:

1.) We don't reject the null

2.) We reject the Null

3.) We do not reject the null

Step-by-step explanation:

Obtaining p values using test statistic:

Given that ; we have a standardized test statistic and α - values ;

Let's define the decision region :

If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0

A.)

Left tail , Z = - 1.32 ; α = 0.10

We can use the Pvalue calculator from Z score :

Pvalue = 0.934

Pvalue > α ; Hence, we fail to reject the null, H0

B.)

Right-tailed test, z = 2.46, α = 0.01

Pvalue from Zscore calculator ;

Pvalue = 0.0069

Pvalue < α ; Hence, we reject the null, H0

C.)

Two-tailed test, z = -1.68, α = 0.05

Pvalue from Zscore calculator ;

Pvalue = 0.093

Pvalue > α ; Hence, we fail to reject the null, H0

Answer:

27

Step-by-step explanation:

specific probability = number of specific possibilities divided by number of total possibilities.

the number of total possibilities is 72 (we can pull one out of 72).

the probability of pulling a red back is 3/8.

so, to find the actual number of specific possibilities (actual number of red balls in the overall sample size of 72) we need to bring this ratio of 3/8 to an expression of x/72.

what is the factor to turn 8 into 72 ? 9.

8×f = 72

f = 72/8 = 9

to keep the ratio unchanged in its dimension, we need to apply the same factor to 3 to get x.

3/8 × f/f = x/72

3/8 × 9/9 = x/72

3×9 / 72 = x/72

3×9 = x = 27

so, the probability ratio based on actual possibilities (number of balls available) is 27/72

=>

there are 27 red balls in the bag of total 72 balls.

Step-by-step explanation:

I have no idea but here's thiss

Answer:

[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]

Answer:

only 20 students would

Step-by-step explanation:

the probability would be very since it is 20 out of 115. i hope this helped

Answer:

180

Step-by-step explanation:

120 divide by 2

then times by 3